Help with calculating magnitude of block acceleration. Can someone explain how t

ID: 1435803 • Letter: H

Question

Help with calculating magnitude of block acceleration. Can someone explain how to do these problems by using these equations?

A block slides up a 20 degree incline. The coefficient of kinetic friction between the block and incline is 0.20. Use g = 10 m/s2.

A) Calculate the magnitude of the block's acceleration as it slides up the incline

B) Find the minimum coefficient of static friction between block and incline such that the block can remain at rest when placed on the incline.

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A) as block slides up the incline, kinetic friction will act in opposite direction of motion.

perpendicular the incline,

Fnet = ma

mgcos20 - N = 0

N = mg cos20

frictional force, f = uk N = 0.20mgcos20

along the incline,

-f - mgsin20 = ma

- 0.20mgcos20 - mgsin20 = ma

a = - 5.19 m/s^2

so 5.19 m/s^2 down the incline

B) block will remain in rest when component of gravitational force along the incline will
be equal to the friction force.

hence us N = mg sin20

us mg cos20 = mgsin20

us = tan20 = 0.36

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